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Finding the Fourth Proportional to 333.80, 460.73 and 193.97

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Solution

The fourth proportional to 333.80, 460.73 and 193.97 is: 267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.80 : 460.73 = 193.97 : x
  2. Step 2: Convert to fraction form
    333.80/460.73 = 193.97/x
  3. Step 3: Cross multiply
    333.80x = 460.73 × 193.97
  4. Step 4: Simplify right side
    333.80x = 89,369.43
  5. Step 5: Solve for x
    x = 89,369.43/333.80
  6. Step 6: Final answer
    x = 267.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.